Stress Amplitude Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
σa = (σmax-σmin)/2
This formula uses 3 Variables
Variables Used
Stress Amplitude - (Measured in Pascal) - Stress amplitude is one half of the range of stress of a stress cycle in fatigue.
Maximum Stress at Crack Tip - (Measured in Pascal) - Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack.
Minimum Stress - (Measured in Pascal) - Minimum Stress is defined as the minimum stress that is induced or applied to the object.
STEP 1: Convert Input(s) to Base Unit
Maximum Stress at Crack Tip: 62.43 Newton per Square Meter --> 62.43 Pascal (Check conversion here)
Minimum Stress: 106.3 Newton per Square Meter --> 106.3 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
σa = (σmaxmin)/2 --> (62.43-106.3)/2
Evaluating ... ...
σa = -21.935
STEP 3: Convert Result to Output's Unit
-21.935 Pascal -->-21.935 Newton per Square Meter (Check conversion here)
FINAL ANSWER
-21.935 Newton per Square Meter <-- Stress Amplitude
(Calculation completed in 00.004 seconds)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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21 Design of Machine Elements Calculators

Factor of Safety for Tri-axial State of Stress
Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))
Equivalent Stress by Distortion Energy Theory
Go Equivalent Stress = 1/sqrt(2)*sqrt((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2)
Collar Friction Torque in Accordance of Uniform Pressure Theory
Go Collar Friction Torque = ((Coefficient of Friction*Load)*(Outer Diameter of Collar^3-Inner Diameter of Collar^3))/(3*(Outer Diameter of Collar^2-Inner Diameter of Collar^2))
Factor of Safety for Bi-Axial State of Stress
Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))
Tensile Stress in Spigot
Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))
Unit Bearing Pressure
Go Unit Bearing Pressure = (4*Force on Unit)/(pi*Number of Threads*(Nominal Diameter^2-Core Diameter^2))
Shear Stress on Flat Key
Go Shear Stress = (2*Torque Transmitted by Shaft)/(Width of Key*Diameter of Shaft*Length of Key)
Polar Moment of Inertia of Hollow Circular Shaft
Go Polar Moment of Inertia of shaft = (pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32
Ratio Factor for External Gears
Go Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear+Number of Teeth on Spur Pinion)
Ratio Factor for Internal Gears
Go Ratio Factor = 2*Number of Teeth of Gear/(Number of Teeth of Gear-Number of Teeth on Spur Pinion)
Permissible Shear Stress for Cotter
Go Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
Compressive Stress of Spigot
Go Compressive Stress in Spigot = Load on Cotter Joint/(Thickness of Cotter*Spigot Diameter)
Permissible Shear Stress for Spigot
Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
Pitchline Velocity of Meshing Gears
Go Velocity = pi*Diameter of Pitch Circle*Speed in RPM/60
Power Transmitted
Go Shaft Power = 2*pi*Speed of Rotation*Torque applied
Stress Amplitude
Go Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
Polar Moment of Inertia of Solid Circular Shaft
Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32
Factor of Safety given Ultimate Stress and Working Stress
Go Factor of Safety = Fracture Stress/Working Stress
Thickness of Cotter Joint
Go Thickness of Cotter = 0.31*Diameter of Rod of Cotter Joint
Shear Yield Strength by Maximum Distortion Energy Theory
Go Shear Yield Strength = 0.577*Tensile Yield Strength
Shear Yield Strength by Maximum Shear Stress Theory
Go Shear Yield Strength = Tensile Yield Strength/2

9 Design of Coupling Calculators

Factor of Safety for Tri-axial State of Stress
Go Factor of Safety = Tensile Yield Strength/sqrt(1/2*((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2))
Equivalent Stress by Distortion Energy Theory
Go Equivalent Stress = 1/sqrt(2)*sqrt((Normal Stress 1-Normal Stress 2)^2+(Normal Stress 2-Normal Stress 3)^2+(Normal Stress 3-Normal Stress 1)^2)
Factor of Safety for Bi-Axial State of Stress
Go Factor of Safety = Tensile Yield Strength/(sqrt(Normal Stress 1^2+Normal Stress 2^2-Normal Stress 1*Normal Stress 2))
Tensile Stress in Spigot
Go Tensile Stress = Tensile Force on Rods/((pi/4*Diameter of Spigot^(2))-(Diameter of Spigot*Thickness of Cotter))
Polar Moment of Inertia of Hollow Circular Shaft
Go Polar Moment of Inertia of shaft = (pi*(Outer Diameter of Shaft^(4)-Inner Diameter of Shaft^(4)))/32
Permissible Shear Stress for Cotter
Go Permissible Shear Stress = Tensile Force on Rods/(2*Mean Width of Cotter*Thickness of Cotter)
Permissible Shear Stress for Spigot
Go Permissible Shear Stress = Tensile Force on Rods/(2*Spigot Distance*Diameter of Spigot)
Stress Amplitude
Go Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
Polar Moment of Inertia of Solid Circular Shaft
Go Polar Moment of Inertia = (pi*Diameter of Shaft^4)/32

Stress Amplitude Formula

Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2
σa = (σmax-σmin)/2

Define stress amplitude?.

One-half of the range of fluctuating stress developed in a specimen in a fatigue test. Stress amplitude often is used to construct an S-N diagram. The Alternating Stress is the measure of the forces a component is subjected to over a time limit. These would vary from low (zero) to high positive or in some cases negative - imagine a door being opened & closed multiple times.

How to Calculate Stress Amplitude?

Stress Amplitude calculator uses Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2 to calculate the Stress Amplitude, The Stress Amplitude, Sa, is the amount the stress deviates from the mean. It is sometimes called as alternating stress. Stress Amplitude is denoted by σa symbol.

How to calculate Stress Amplitude using this online calculator? To use this online calculator for Stress Amplitude, enter Maximum Stress at Crack Tip max) & Minimum Stress min) and hit the calculate button. Here is how the Stress Amplitude calculation can be explained with given input values -> -21.935 = (62.43-106.3)/2.

FAQ

What is Stress Amplitude?
The Stress Amplitude, Sa, is the amount the stress deviates from the mean. It is sometimes called as alternating stress and is represented as σa = (σmaxmin)/2 or Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2. Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack & Minimum Stress is defined as the minimum stress that is induced or applied to the object.
How to calculate Stress Amplitude?
The Stress Amplitude, Sa, is the amount the stress deviates from the mean. It is sometimes called as alternating stress is calculated using Stress Amplitude = (Maximum Stress at Crack Tip-Minimum Stress)/2. To calculate Stress Amplitude, you need Maximum Stress at Crack Tip max) & Minimum Stress min). With our tool, you need to enter the respective value for Maximum Stress at Crack Tip & Minimum Stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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